Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 568, 390, 298, 850 i.e. 2 largest integer that divides all the numbers equally.
GCD of 568, 390, 298, 850 is 2
GCD(568, 390, 298, 850) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 568, 390, 298, 850 is 2
GCD(568, 390, 298, 850) = 2
Given Input numbers are 568, 390, 298, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 568, 390, 298, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 390, 298, 850 is 2.
Therefore, GCD of numbers 568, 390, 298, 850 is 2
Given Input Data is 568, 390, 298, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 298 is 2 x 149
Prime Factorization of 850 is 2 x 5 x 5 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(568, 390) = 110760
GCD(568, 390) = ( 568 x 390 ) / 110760
GCD(568, 390) = 221520 / 110760
GCD(568, 390) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
GCD(2, 298) = 596 / 298
GCD(2, 298) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 850) = 850
GCD(2, 850) = ( 2 x 850 ) / 850
GCD(2, 850) = 1700 / 850
GCD(2, 850) = 2
GCD of 568, 390, 298, 850 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 568, 390, 298, 850?
GCD of 568, 390, 298, 850 is 2
2. Where do I get the detailed procedure to find GCD of 568, 390, 298, 850?
You can find a detailed procedure to find GCD of 568, 390, 298, 850 on our page.
3. How to find GCD of 568, 390, 298, 850 on a calculator?
You can find the GCD of 568, 390, 298, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.